AS Mathematics Specification Specification for first teaching in 2017
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Students must be able to use the following formulae and identities for AS and A-level mathematics, without these formulae and identities being provided, either in these forms or in equivalent forms. These formulae and identities may only be provided where they are the starting point for a proof or as a result to be proved.
has roots
for and
A straight line graph, gradient passing through has equation
Straight lines with gradients and are perpendicular when = 1
General term of an arithmetic progression:
General term of a geometric progression:
In the triangle ABC
Sine rule: = =
Cosine rule:
Area
Circumference and Area of circle, radius and diameter :
Pythagoras’ Theorem: In any right-angled triangle where , and are the lengths of the sides and is the hypotenuse:
Area of a trapezium = , where and are the lengths of the parallel sides and is their perpendicular separation.
Volume of a prism = area of cross section length
For a circle of radius , where an angle at the centre of radians subtends an arc of length and encloses an associated sector of area :
Area under a curve
Weight = mass
Friction:
Newton’s second law in the form:
For motion in a straight line with variable acceleration:
The mean of a set of data:
The standard Normal variable: where